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Is work done in moving charge on an equipotential surface?

Posted on August 18, 2022 by Author

Is work done in moving charge on an equipotential surface?

The work done to move any positive charge from any point on an Equipotential surface to another point on it is zero. For Equipotential surfaces,the electric field lines are always perpendicular to the surface(means that electric field vector and the line integral vector are mutually perpendicular).

What is work done on equipotential surface?

An equipotential surface is everywhere perpendicular to the electric field that it characterizes. The work done by the electric field on a particle when it is moved from one point on an equipotential surface to another point on the same equipotential surface is always zero.

Is work required to move a positive charge?

To move a positive charge against the electric field, work has to be done by you or a force external to the field. The charge is forced to move from a low potential point to a high potential point, and the work done by the external force is negative.

What is the work required to move a charge along an equipotential?

So 0 work is needed when a charge is moved on an equipotential surface with no change of speed.

How much work to be done to move a charge along an equatorial surface from A to B?

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∴W=0.

Why no work is done to move a charge anywhere in the equatorial plane of electric dipole?

The equatorial plane of an electric dipole is an equipotential with V = 0. Therefore, no work is done in moving a charge between two points in the equatorial plane of a dipole.

What is the work done in moving a charge of 10nc between two points on an equipotential surface?

zero
As the potential at two points on an equipotential surfaces is same, the work done in moving a charge of 10 μ C from any point on the equipotential surface to any other point on the equipotential surface is zero.

Why is work done in moving a charge between two points on an equipotential surface is zero?

Work done is the difference in the potential between the two points. As the surface is equipotential i.e all points on it are at same potential, so the difference of potential between any two points will be zero. Hence work done will be zero.

When work is done on a positive test charge?

When work is done on a positive test charge to move it from one location to another, potential energy increases and electric potential increases.

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Why the work done against the repulsive force on the test charge is positive?

For Q > 0, the work done against the repulsive force on the test charge is positive. As the test charge is a unit positive charge so the work done in bringing it closer to a positive charge, work needs to be done and so it will be positive.

How much work is to be done to move a charge along an equipotential surface from A to B?

What is the work done on a moving charge?

We can reverse the definition of the potential difference, we can say that the work done to move a unit charge from one point to another is defined as the difference in the electric potential between initial point electric potential and last point electric potential.

What is the work done in moving charge along equipotential surface?

As energy is not gained, thus no work has been done in moving charge along the equipotential surface. The electric field in the equipotential surface direction (in the direction, which is parallel to that surface) is zero.

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How do you find work done on equipotential surface?

$\\begingroup$ An equipotential surface is one in which all the points are at the same electric potential. If a charge is to be moved between any two points (say from point A to point B) on an equipotential surface, according to the formula $dW = q\\cdot dV$, the work done becomes zero.

What is the work done to move a positive charge?

The work done to move any positive charge from any point on an Equipotential surface to another point on it is zero. For Equipotential surfaces,the electric field lines are always perpendicular to the surface (means that electric field vector and the line integral vector are mutually perpendicular).

What is the total work done in moving the charge?

If a point charge is moved from point V A to V B, in an equipotential surface, then the work done in moving the charge is given by As VA – VB is equal to zero, the total work done is W = 0. The electric field is always perpendicular to an equipotential surface. Two equipotential surfaces can never intersect.

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